Computational Analysis of the Mechanical Impedance of the Sandwich Beam with Auxetic Metal Foam Core

Abstract

In this paper, the dynamic behavior of a three-layered sandwich beam with a metal foam core is investigated. Outer layers of the sandwich beam are made of AlSi12 alloy and the core is metal porous foam made of AlSi12. Numerical analysis is made for different parameters of the coreaverage damping loss factor, densities, Young modulus, and Poisson's ratio of core foam. The simulations are used to determine the mechanical impedance for a sandwich beam with the applied harmonic load. Numerical calculations are made with the use of finite element method. The results imply that the auxetic core of the composite beam can have a great impact on the dynamic behavior (mobility) of the system. Furthermore, it appears that there are ranges of frequencies in which the mobility of the system can be minimized by using the auxetic foam core.

Auxetics and Other Systems of Anomalous Characteristics

“…crystal of hard spheres with an array of [001]-nanochannels filled by hard spheres of another diameter' by J. Narojczyk et al [20] The simulations show that symmetry of such crystals changes from the cubic to tetragonal one. When spheres inside the inclusions are smaller than spheres forming the crystalline matrix, the changes of Poisson's ratio are qualitatively similar to the changes observed earlier in the Yukawa sphere crystal, that is, the introduction of nanochannels causes simultaneous decrease of the Poisson's ratio for [110] [1][2][3][4][5][6][7][8][9][10]-directions, and its increase for [110][001]-directions. Filling the nanochannels with spheres having diameters greater than that of the spheres in the crystalline matrix, causes a strong decrease of the minimum Poisson's ratio value.…”

“…T. Strek, J. Michalski, and H. Jopek [5] in their paper 'Computational analysis of the mechanical impedance of the sandwich beam with auxetic metal foam core' perform a computational study about the effects of metal foams with Poisson's ratios varying between À1 and 0.5 and variable density over the vibroacoustic properties of cantilever sandwich structures. In this study the beams are subjected to harmonic uniform pressure distribution, and the metrics considered are essentially the mechanical impedance and the first six eigenvalues of the structure.…”

Maximum Stresses in Rectangular Auxetic Membranes

“…Since its rediscovery in the late 1980s, [9][10][11][12][13] auxetic materials have been investigated for applications as cushions, [14,15] footwear, [16,17] aircraft structures, [18,19] shock and vibration control, [20][21][22][23][24][25] technical textiles, [26,27] chemical filters, [28][29][30][31] implants, [32][33][34][35][36][37] safety devices, [38] composite structures, [39,40] and even sport safety gear. [41,42] Further details of auxetic materials can be found in recent reviews by Saxena et al, [43] Lim, [44] Lakes, [45] and Ren et al [46] as well as recent special issues on auxetics in Physica Status Solidi B (e.g., previous studies [47][48][49] ), Materials (e.g., previous studies [50][51][52] ), and two monographs. [53,54] While auxeticity has often...…”

Modelling of Impulse Load Influence on the Stress State of Foam Materials with Positive and Negative Poisson’s Ratio

“…In the work of Zang et al (2014), the in-plane dynamic crushing behaviour of honeycomb auxetics with various cell wall angles was studied using dynamic finite element simulation. Strek et al (2019) performed computational analysis of the dynamic behaviour of a three-layered sandwich beam with a metal foam core.…”